%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:16:59 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 17 unt; 5 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 42 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X45] : p6(X45,X45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p6(f7(f3(c18)),f7(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p6(f7(f3(c19)),f7(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X46,X47,X45] :
( ~ p6(X45,X47)
| ~ p6(X45,X46)
| p6(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X52,X53,X54,X55] :
( ~ p6(X52,X54)
| ~ p6(X53,X55)
| p6(f9(X52,X53),f9(X54,X55)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X14,X15] :
( ~ p15(X15)
| ~ p15(X14)
| p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
p15(f3(c19)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
p15(f3(c18)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
! [X0] : p6(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
p6(f7(f3(c18)),f7(c18)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f55,plain,
p6(f7(f3(c19)),f7(c19)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f67,plain,
! [X47,X45] :
( ~ p6(X45,X47)
| ! [X46] :
( ~ p6(X45,X46)
| p6(X46,X47) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f77,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f82,plain,
! [X52,X54] :
( ~ p6(X52,X54)
| ! [X53,X55] :
( ~ p6(X53,X55)
| p6(f9(X52,X53),f9(X54,X55)) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ p6(X0,X2)
| ~ p6(X1,X3)
| p6(f9(X0,X1),f9(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f92,plain,
! [X15] :
( ~ p15(X15)
| ! [X14] :
( ~ p15(X14)
| p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15))) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p15(X1)
| ~ p15(X0)
| p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1))) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f101,plain,
! [X0] :
( ~ p6(X0,f9(f7(c19),f7(c18)))
| ~ p6(X0,f7(f10(f3(c19),f3(c18)))) ),
inference(resolution,[status(thm)],[f77,f68]) ).
fof(f103,plain,
! [X0,X1] :
( ~ p6(X1,f7(f10(f3(c19),f3(c18))))
| ~ p6(X1,X0)
| ~ p6(X0,f9(f7(c19),f7(c18))) ),
inference(resolution,[status(thm)],[f101,f68]) ).
fof(f119,plain,
! [X0] :
( ~ p6(f7(f10(f3(c19),f3(c18))),X0)
| ~ p6(X0,f9(f7(c19),f7(c18))) ),
inference(resolution,[status(thm)],[f103,f46]) ).
fof(f134,plain,
( ~ p15(f3(c18))
| ~ p15(f3(c19))
| ~ p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))) ),
inference(resolution,[status(thm)],[f119,f93]) ).
fof(f138,definition,
( sQ3_spl
<=> p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ3_spl
| ~ p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ4_spl
<=> p15(f3(c19)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ4_spl
| ~ p15(f3(c19)) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ5_spl
<=> p15(f3(c18)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ5_spl
| ~ p15(f3(c18)) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f134,f138,f141,f144]) ).
fof(f148,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f44]) ).
fof(f149,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f43]) ).
fof(f151,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f196,plain,
( sQ3_spl
| ~ p6(f7(f3(c19)),f7(c19))
| ~ p6(f7(f3(c18)),f7(c18)) ),
inference(resolution,[status(thm)],[f140,f83]) ).
fof(f198,definition,
( sQ8_spl
<=> p6(f7(f3(c18)),f7(c18)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ8_spl
| ~ p6(f7(f3(c18)),f7(c18)) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ9_spl
<=> p6(f7(f3(c19)),f7(c19)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( sQ9_spl
| ~ p6(f7(f3(c19)),f7(c19)) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ3_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f196,f198,f201,f138]) ).
fof(f205,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f54]) ).
fof(f206,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f55]) ).
fof(f208,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f207]) ).
fof(f209,plain,
$false,
inference(sat_refutation,[status(thm)],[f147,f149,f151,f204,f206,f208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n014.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 11:10:49 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.052571 seconds
% 0.14/0.42 % CPU time: 0.176632 seconds
% 0.14/0.42 % Total memory used: 13.567 MB
% 0.14/0.42 % Net memory used: 13.325 MB
%------------------------------------------------------------------------------